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132666496800 = 25352192909353
BaseRepresentation
bin111101110001110001…
…0100001011100100000
3110200102202102022120120
41323203202201130200
54133200110344200
6140540211240240
712404412421335
oct1734342413440
9420382368516
10132666496800
11512998626a2
12218658a9080
13c68345a8a6
1465c769a98c
1536b6ecb9a0
hex1ee38a1720

132666496800 has 144 divisors (see below), whose sum is σ = 454557468960. Its totient is φ = 33515735040.

The previous prime is 132666496757. The next prime is 132666496801. The reversal of 132666496800 is 8694666231.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132666496801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409077 + ... + 1500276.

It is an arithmetic number, because the mean of its divisors is an integer number (3156649090).

Almost surely, 2132666496800 is an apocalyptic number.

132666496800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132666496800 is an abundant number, since it is smaller than the sum of its proper divisors (321890972160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132666496800 is a wasteful number, since it uses less digits than its factorization.

132666496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909395 (or 2909382 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 132666496800 in words is "one hundred thirty-two billion, six hundred sixty-six million, four hundred ninety-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 2909353 5818706 8728059 11637412 14546765 17456118 23274824 29093530 34912236 43640295 46549648 55277707 58187060 69824472 72733825 87280590 93099296 110555414 116374120 139648944 145467650 165833121 174561180 218201475 221110828 232748240 276388535 279297888 290935300 331666242 349122360 436402950 442221656 465496480 552777070 581870600 663332484 698244720 829165605 872805900 884443312 1105554140 1163741200 1326664968 1381942675 1396489440 1658331210 1745611800 1768886624 2211108280 2327482400 2653329936 2763885350 3316662420 3491223600 4145828025 4422216560 5306659872 5527770700 6633324840 6982447200 8291656050 8844433120 11055541400 13266649680 16583312100 22111082800 26533299360 33166624200 44222165600 66333248400 132666496800